9 ideas
9406 | A class is natural when everybody can spot further members of it [Quinton] |
Full Idea: To say that a class is natural is to say that when some of its members are shown to people they pick out others without hesitation and in agreement. | |
From: Anthony Quinton (The Nature of Things [1973], 9 'Nat') | |
A reaction: He concedes a number of problems with his view, but I admire his attempt to at least begin to distinguish the natural (real!) classes from the ersatz ones. A mention of causal powers would greatly improve his story. |
18119 | Mathematics is a mental activity which does not use language [Brouwer, by Bostock] |
Full Idea: Brouwer made the rather extraordinary claim that mathematics is a mental activity which uses no language. | |
From: report of Luitzen E.J. Brouwer (Mathematics, Science and Language [1928]) by David Bostock - Philosophy of Mathematics 7.1 | |
A reaction: Since I take language to have far less of a role in thought than is commonly believed, I don't think this idea is absurd. I would say that we don't use language much when we are talking! |
18118 | Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock] |
Full Idea: Brouwer regards as somehow 'wicked' the idea that mathematics can be applied to a non-mental subject matter, the physical world, and that it might develop in response to the needs which that application reveals. | |
From: report of Luitzen E.J. Brouwer (Mathematics, Science and Language [1928]) by David Bostock - Philosophy of Mathematics 7.1 | |
A reaction: The idea is that mathematics only concerns creations of the human mind. It presumably has no more application than, say, noughts-and-crosses. |
15730 | Extreme nominalists say all classification is arbitrary convention [Quinton] |
Full Idea: Pure, extreme nominalism sees all classification as the product of arbitrary convention. | |
From: Anthony Quinton (The Nature of Things [1973], 9 'Nat') | |
A reaction: I'm not sure what the word 'arbitrary' is doing there. Nominalists are not daft, and if they can classify any way they like, they are not likely to choose an 'arbitrary' system. Pragmatism tells the right story here. |
15728 | The naturalness of a class depends as much on the observers as on the objects [Quinton] |
Full Idea: The naturalness of a class depends as essentially on the nature of the observers who classify as it does on the nature of the objects that they classify. ...It depends on our perceptual apparatus, and on our relatively mutable needs and interests. | |
From: Anthony Quinton (The Nature of Things [1973], 9 'Nat') | |
A reaction: This seems to translate 'natural' as 'natural for us', which is not much use to scientists, who spend quite a lot of effort combating folk wisdom. Do desirable sports cars constitute a natural class? |
9407 | Properties imply natural classes which can be picked out by everybody [Quinton] |
Full Idea: To say there are properties is to say there are natural classes, classes introduction to some of whose members enables people to pick out others without hesitation and in agreement. | |
From: Anthony Quinton (The Nature of Things [1973], 9 'Nat') | |
A reaction: Aristotle would like this approach, but it doesn't find many friends among modern logician/philosophers. We should go on to ask why people agree on these things. Causal powers will then come into it. |
15729 | Uninstantiated properties must be defined using the instantiated ones [Quinton] |
Full Idea: Properties that have no concrete instances must be defined in terms of those that have. | |
From: Anthony Quinton (The Nature of Things [1973], 9 'Nat') | |
A reaction: I wonder what the dodo used to smell like? |
8520 | An individual is a union of a group of qualities and a position [Quinton, by Campbell,K] |
Full Idea: Quinton proposes that an individual is a union of a group of qualities and a position. | |
From: report of Anthony Quinton (The Nature of Things [1973], Pt I) by Keith Campbell - The Metaphysic of Abstract Particulars §5 | |
A reaction: This seems the obvious defence of a bundle account of objects against the charge that indiscernibles would have to be identical. It introduces, however, 'positions' into the ontology, but maybe that price must be paid. Materialism needs space. |
4366 | We can't accept Aristotle's naturalism about persons, because it is normative and unscientific [Williams,B, by Hursthouse] |
Full Idea: Williams has expressed pessimism about the project of Aristotelian naturalism on the grounds that his conception of nature, and thereby of human nature, was normative, and that, in a scientific age, this is not a conception that we can take on board. | |
From: report of Bernard Williams (works [1971]) by Rosalind Hursthouse - On Virtue Ethics Ch.11 | |
A reaction: I think there is a compromise here. The existentialist denial of intrinsic human nature seems daft, but Aristotelians must grasp the enormous flexibility that is possible to human behaviour because of the open nature of rationality. |